Question
A man sold an article for 40% profit. If the selling
price of the article had been Rs. 210 less and the cost price had been 50% less, then the profit percentage would be 40%. Find the original cost price of the article.Solution
Let the initial cost price of the article be Rs. '100x' So, initial selling price = 100x × 1.4 = Rs. '140x' ATQ; 140x - 210 = 100x × 0.5 × 1.4 Or, 140x - 210 = 70x Or, 70x = 210 So, x = 3 So, initial cost price of the article = 3 × 100 = Rs. 300
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